How Many Square Units Are In An Office That Is 13 Units By 9 Units?
I have two identical rectangles here, and I want to measure how much space each of them take up on the plane of my screen, the screen that you are looking at right now And I want to do it using two different units
It’s clear, since they’re two identical rectangles, that they take up the exact same amount of space They will have the same area But what we could see it that we can measure that area using different units So first over here, let’s say that this figure is 1 foot in width And it is also 1 foot in height
So this right over here is equal to 1 square foot It’s clearly a square It has the same width and the same height And each of these dimensions are 1 foot, so we could call it 1 square foot So let’s see how many square feet we can get onto one of these rectangles, and essentially we’ll be measuring its area in terms of square feet
And so we want to cover the entire space without overlapping and without going over the boundary So that’s 1, 2, 3, 4, 5, and 6 6 in that first row, and then I have 7, 8, 9 10, 11, and 12 So that looks like this area, which is the same as this area down here If I were to measure it in square feet, the area is equal to, let me write this down, the area is equal to, we have– let me write it down
We have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 square feet 12 square feet Now, I’m going to try to measure that same area in a different unit, and I’m going to just make up this unit I’m going to call it a furgle And a furgle in one dimension, so a furgle in one dimension is twice a foot
So that distance right over here, I’m going to call a furgle That’s one furgle This is something that I made up just for the purpose of this video Most people will not recognize what a furgle is So its height is one furgle
Its width is a furgle And so we could say that this is 1 square furgle So let’s see how many square furgles is this area, that same area that is 12 square feet So let me copy and paste this So let me copy, and then paste
So let’s see if we can get one square furgle on there We can get another square furgle on there, and we can get a third square furgle on there So we get 1, 2, 3 square furgles The area of this figure in furgles, square furgles, I should say, area is equal to 3 square furgles So it’s the same exact area
3 square furgles is equal to 12 square feet, covering the exact same area Now, what I encourage you to think about is how many square feet make a square furgle?
The formula for finding the area of a figure is length x width = area. If an office measures 13 units by 9 units, then the office is 13 units long and 9 units wide. The area is 13 x 9 = 117 square units